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The Complexity Of The Constrained Gradient Method For Linear Programming

Author

Listed:
  • Telgen, J.

Abstract

It is proved that the computation of , the constrained gradient is equivalent (in a coMplexity, theoretic sense), to quadratic programming. Since the *latter is an NP—hard problem, the constrained gradient method is not a 'good' method for linear programming unless P = AT.

Suggested Citation

  • Telgen, J., 1980. "The Complexity Of The Constrained Gradient Method For Linear Programming," Econometric Institute Archives 272204, Erasmus University Rotterdam.
    • Handle: RePEc:ags:eureia:272204
    DOI: 10.22004/ag.econ.272204
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    References listed on IDEAS

    as
    1. Vorst, A. C. F., 1980. "The General Linear Group Of Polynomial Rings Over Regular Rings," Econometric Institute Archives 272201, Erasmus University Rotterdam.
    2. Boender, C. G. E. & Rinnooy Kan, A. H. G. & Stougie, L. & Timmer, G. T., 1980. "A Stochastic Method For Global Optimization," Econometric Institute Archives 272200, Erasmus University Rotterdam.
    3. Lenstra, J. K. & Rinnooy Kan, A. H. G., 1980. "A Recursive Approach To The Implementation Of Enumerative Methods," Econometric Institute Archives 272202, Erasmus University Rotterdam.
    4. de Boer, P.M.C. & van Daal, J., 1980. "Linearization And Estimation Of The Addi-Log Budget Allocation Model," Econometric Institute Archives 272203, Erasmus University Rotterdam.
    Full references (including those not matched with items on IDEAS)

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    1. Lenstra, J. K. & Rinnooy Kan, A. H. G., 1980. "A Recursive Approach To The Implementation Of Enumerative Methods," Econometric Institute Archives 272202, Erasmus University Rotterdam.
    2. Vorst, A. C. F., 1980. "The General Linear Group Of Polynomial Rings Over Regular Rings," Econometric Institute Archives 272201, Erasmus University Rotterdam.

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